Can't figure out how the example in the book is getting from one step to the next.(adsbygoogle = window.adsbygoogle || []).push({});

Here's the problem

2(8+216/x)(-216/x^2) + 2(x+27) = 0

The next step

(x+27)(1-1728/x^3) = 0

First thing I did was divide out the two & got

(8+216/x)(-216/x^2) + (x+27) = 0

Then I multiplied out the left part

-1728x^-2 + 46656x^-3 + (x+27) = 0

This got me nowhere it seems.

Then I tried to find a common denominator

-1728x-46656/x + (x+27) = 0

this is what I got when I multiplied it out & still nowhere it seems. Any help would be appreciated.

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# Homework Help: Algebra Problem

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